Indeed, Janus's moving clocks show what is happening, and a few simplified calculations can actually show that the diagrams for Figures 1 - 3 work properly, however, the impression is created that the mathematical consequence is due to the inherent impossibility of synchronizing clocks in moving...
I will study your notes, Ibix. In the meantime I have prepared this thought experiment:
I think I can show that the answer to the original question may be different. To achieve this I will use two additional people, Helen and Tom, but in the end I will remove these two people as if they never...
Ibix's explanations helped me understand how Minkowski diagrams are made - I feel grateful for that. I think I have become accustomed to this and my confidence in Relativity has increased somewhat, mainly in terms of the mathematical consequence of the theory. Whatever modifications I tried in...
Is there any problem: All the answers claim that the photos show that Alex will be younger than Alice. But we can assume that there is a new person in Alex's reference system, whom we will name Helen (assume that Helen was present in the original experiment but was not declared). The distance...
In the classic twin paradox the astronaut travels to the nearest star and returns to Earth, gaining 1 year. If the same astronaut, with the same accelerations and decelerations, travels to the edge of the galaxy and returns to Earth, he will win 100 years.
In my mind the Earth and the astronaut...
I have identified the various points that create conceptual problems in this hypothetical experiment from the clarifications given and thank you all. Beyond that, despite the fact that Relativity is based on solid foundations, I have to admit that I can not convince myself that nature works this...
From all the answers I realize that there are inherent problems in the nature of the experiment. There is one point I do not understand:
Alternatively, we can assume that Alex is motionless while Bob and Alice are on the move. In this view of the experiment, Bob overtakes the immobilized Alex...
These concepts seem difficult to me. However, is the experiment not feasible with the existing data? Wouldn't it give some results even with some limited accuracy limits?
From what you say I understand that it is difficult to further improve the synchronization of Bob and Alice's watches. I wonder if this can be corrected by placing Bob and Alice in the middle of the distance that separates the two planets. Then they would synchronize their clocks and then return...
Bob is standing on Earth and Alice is on a distant planet at a constant distance from Earth. Their watches are already synchronized in the following sense: Suppose Alice's planet is a light-year away from Earth. Bob emits a light signal to Alice at time t = 0 according to Bob's watch. When Alice...